| >>Link: Equilibrium\Equilibrium |
| >>Link: Calculating\Calculating |
| >>Link: Pressures\Pressures |
| Stresses, Strains, Displacements |
| >>Link: Stresses, Strains, Displacements\Stresses, Strains, Displacements |
| Unsymmetrical and Inhomogeneous Cross-Sections |
| >>Link: Unsymmetrical and Inhomogeneous Cross-Sections\Unsymmetrical and Inhomogeneous Cross-Sections |
| Deformation Due to Bending |
| Shear Forces and Shear Stresses Due to Bending |
| >>Link: Shear Forces and Shear Stresses Due to Bending\Shear Forces and Shear Stresses Due to Bending |
| Members Subject to Bending and Extension |
| >>Link: Members Subject to Bending and Extension\Members Subject to Bending and Extension |
| Cross-Sectional Properties |
| >>Link: Bar Subject to Extension\Bar Subject to Extension |
| C.Hartsuijker, J.W.Welleman |
| Stresses, Strains, Displacements |
| >>Link: Page-1\Engineering Mechanics\Stresses, Strains, Displacements |
| Cross-Sectional Properties |
| centroid and normal centre |
| Thin-walled cross-sections |
| Formal approach and engineering practice |
| Deformation Due to Bending |
| Direct determination from the moment distribution |
| Differential equation for bending |
| Simply supported beams and the M/EI diagram |
| >>Link: Bar Subject to Extension\Bar Subject to Extension |
| Unsymmetrical and Inhomogeneous Cross-Sections |
| >>Link: Unsymmetrical and Inhomogeneous Cross-Sections\Unsymmetrical and Inhomogeneous Cross-Sections |
| Shear Forces and Shear Stresses Due to Bending |
| >>Link: Shear Forces and Shear Stresses Due to Bending\Shear Forces and Shear Stresses Due to Bending |
| Members Subject to Bending and Extension |
| >>Link: Members Subject to Bending and Extension\Members Subject to Bending and Extension |
| Material behaviour in shear |
| Torsion of bars with circular cross-section |
| Torsion of thin-walled cross-sections |
| The behaviour of a single truss member |
| Williot diagram with rigid-body rotation |
| C.Hartsuijker, J.W.Welleman |
| Unsymmetrical and Inhomogeneous Cross-Sections |
| >>Link: Stresses, Strains, Displacements\Stresses, Strains, Displacements\Unsymmetrical and Inhomogeneous Cross-Sections |
| Sketch of the problems and required assumptions |
| Curvature and neutral axis |
| Normal force and bending moments - centre of force |
| Constitutive relationships for unsymmetrical and/or inhomogeneous cross-sections |
| Plane of loading and plane of curvature - neutral axis |
| The normal centre NC for inhomogeneous cross-sections |
| Stresses due to extension and bending - a straightforward method |
| Applications of the straightforward method |
| Stresses in the principal coordinate method - alternative method |
| Transformation formulae for the bending stiffness tensor |
| Application of the alternative method based on the principal directions |
| Shear flow and shear stresses in arbitrary cross-sections |
| Displacements due to bending |
| Maxwell's reciprocal theorem |
| C.Hartsuijker, J.W.Welleman |
| Members Subject to Bending and Extension |
| >>Link: Stresses, Strains, Displacements\Stresses, Strains, Displacements\Members Subject to Bending and Extension |
| Strain diagram and neutral axis |
| The three basic relationships |
| Stress formula and stress diagram |
| Core of the cross-section |
| Examples of the stress formula related to bending without extension |
| General stress formula related to the principal directions |
| Examples relating to the stress formula for bending with extension |
| Applications related to the core of the cross-section |
| Mathematical description of the problem of bending with extension |
| Notes for the fibre model and summary of the formulas |
| C.Hartsuijker, J.W.Welleman |
| Shear Forces and Shear Stresses Due to Bending |
| >>Link: Stresses, Strains, Displacements\Stresses, Strains, Displacements\Shear Forces and Shear Stresses Due to Bending |
| Shear forces and shear stresses in longitudinal direction |
| Examples relating to shear forces and shear stresses in the longitudinal direction |
| Examples relating to the shear stress distribution in a cross-section |
| Shear stresses on a cross-sectional plane |
| Summary of the formulas and rules |
| C.Hartsuijker, J.W.Welleman |
| >>Link: Stresses, Strains, Displacements\Stresses, Strains, Displacements\Bar Subject to Extension |
| The three basic relationships |
| Formal approach and engineering practice |
| Normal centre and bar axis |
| Mathematical description of the extension problem |
| Examples relating to change in length and displacement |
| Examples relating to the differential equation for extension |
| Strain diagram and normal stress diagram |
| C.Hartsuijker, J.W.Welleman |
| >>Link: Page-1\Engineering Mechanics\Equilibrium |
| Quantities, units, dimensions |
| Diagrams for the normal force, shear force and bending moment |
| Deformation symbols for shear forces and bending moments |
| Summary sign conventions for the N, V and M diagrams |
| >>Link: Calculating\Calculating |
| >>Link: Pressures\Pressures |
| Bending Moment, Shear Force and Normal Force Diagrams |
| Rules for drawing V and M diagrams more quickly |
| Rules for drawing the N diagram more quickly |
| Bent and compound bar type structures |
| Principle of superposition |
| Schematisations and reality |
| Mathematical Description of the Relationship between Section Forces and Loading |
| Differential equations for the equilibrium |
| Mathematical elaboration of the relationship between N and qx(extention) |
| Mathematical elaboration of the relationship between M, V and qz (bending) |
| Relationship between cable, line of force and structural shape |
| Centre of force and line of force |
| Influence Lines & Virtual work |
| Structures, Loads, Trusses |
| C.Hartsuijker, J.W.Welleman |
| >>Link: Equilibrium\Equilibrium\Calculating |
| Calculating Support Reactions and Interaction Forces |
| Self contained structures |
| Three-hinged frames with tie-rod |
| Calculating M, V and N Diagrams |
| Self-contained structures |
| Compound and associated structures |
| Statically indeterminate structures |
| C.Hartsuijker, J.W.Welleman |
| >>Link: Equilibrium\Equilibrium\Statics |
| Equilibrium of a particle |
| Coplanar forces and moments |
| Equilibrium of a rigid body in a plane |
| Forces and moments in space |
| Equilibrium of a rigid body in space |
| C.Hartsuijker, J.W.Welleman |
| >>Link: Equilibrium\Equilibrium\Pressures |
| Gas Pressure and Hydrostatic Pressure |
| Pascal's law -- All-round pressure |
| Working with gas pressures |
| Working with hydrostatic pressures |
| Horizontal earth pressures |
| C.Hartsuijker, J.W.Welleman |
| >>Link: Equilibrium\Equilibrium\Influence Lines & Virtual work |
| Influence lines using equilibrium equations |
| Influence lines using virtual work |
| Working with influence lines |
| Virtual work equation for a particle |
| Virtual work equation for a rigid body |
| Virtual work equation for mechanisms |
| Calculating forces using virtual work |
| C.Hartsuijker, J.W.Welleman |
| >>Link: Equilibrium\Equilibrium\Structures, Loads, Trusses |
| Working with distributed loads |
| Kinematically/statically (in)determinate trusses |
| Determining member forces |
| Joints between structural elements |
| Kinematic/static (in)determininate structures |
| C.Hartsuijker, J.W.Welleman |
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